13084139520 has 224 divisors, whose sum is σ = 46522477440. Its totient is φ = 3488808960.

The previous prime is 13084139477. The next prime is 13084139557. The reversal of 13084139520 is 2593148031.

13084139520 is a `hidden beast` number, since 130 + 8 + 413 + 95 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100005 + ... + 1111835.

Almost surely, 2^13084139520 is an apocalyptic number.

13084139520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13084139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23261238720).

13084139520 is an abundant number, since it is smaller than the sum of its proper divisors (33438337920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13084139520 is an equidigital number, since it uses as much as digits as its factorization.

13084139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13084139520 in words is "thirteen billion, eighty-four million, one hundred thirty-nine thousand, five hundred twenty".